Art of Problem Solving
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Dive into learning adventures this summer with our math, science, and contest courses.  Enroll today!
How Classes Work
Course Catalog
Recommendations
Subject Courses
Before Prealgebra Ready for Prealgebra After Prealgebra Some Algebra 1 After Algebra 1 After Geometry After Algebra 2 After Precalculus Beyond Calculus
Contest Preparation
MATHCOUNTS/AMC 8 AMC 10 AMC 12 AIME USAMO
Computer Programming
Little or No Experience Some Experience Extensive Experience
Science Courses
Little or No Experience Some Experience Extensive Experience
Prospective Students & Parents
Math Jams
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Paradoxes and Infinity Seminar

In this class we'll explore several popular paradoxes and attempt to wrap our brains around the world of infinity. For example, we'll discover a hotel that's never full: somehow, this hotel can always add another guest, or two, or three. We'll also run into paradoxes about goats, haystacks, pop-quizzes and more. If you're interested in mind-bending ideas and theories and have a background in basic algebra, this class is for you!

2 days
2 days  

Schedule

Summer 2024This course will be offered in Summer 2024. Click here to join our mailing list to be notified when the course schedule is available.

Lessons

Lesson 1 Paradoxes
Lesson 2 Infinity

This course has given me a confidence in math that I have never before had in my life. Everything about AoPS is different from the math that schools teach, even in the most elite courses. The explanation of concepts is different, and there are more challenging problems than just plugging values into a formula to find an answer. While I do have to admit that I have been pushed over and over again to the peak of my mathematical ability, I have also begun to see math, particularly geometry, as more of an art that I have begun to enjoy more and more. I feel that I am very lucky to have found AoPS, even if my age is older than most of the students in this course.